Question

A sphere with a radius of 2.1 cm is moulded into a cylinder having a similar radius, then, the height of the cylinder is – 

1. 2.5 cm
2. 2.1 cm
3. 2.8 cm
4. 2.6cm

Answer 1

Correct Answer - Option 3 : 2.8 cm

Given:

Radius of sphere = 2.1 cm

Radius of cylinder = 2.1 cm

Formula used:

Volume of sphere = 4/3 × πr³

Volume of cylinder = πr²h

Solution:

⇒ 4/3 × πr³ = πr2​h

⇒ 4/3 × r = h

⇒ h = 4/3 × r

⇒ h = 4/3 × (2.1)

⇒ h = 2.8 cm